标题： 分数标准映射 显示英文标题

标题： Fractional Standard Map

摘要： 标准记忆映射相空间的性质被研究。 该映射来源于一个受激分数阶微分方程。 根据映射的参数和原始微分方程中导数的分数阶，这个非线性动力系统表现出吸引子（定点、稳定周期轨迹、缓慢收敛和发散的轨迹、弹道轨迹以及类似分形的结构）和/或混沌轨迹。 在混沌海中观察到了至少一种类似分形的粘滞吸引子。 显示英文摘要

摘要： Properties of the phase space of the standard map with memory are investigated. This map was obtained from a kicked fractional differential equation. Depending on the value of the parameter of the map and the fractional order of the derivative in the original differential equation this nonlinear dynamical system demonstrates attractors (fixed points, stables periodic trajectories, slow converging and slow diverging trajectories, ballistic trajectories, and fractal-like structures) and/or chaotic trajectories. At least one type of fractal-like sticky attractors in the chaotic sea was observed.